When a row of a determinant multiply by a constant,then determinant is also get multiplied by the same constant.
if one multiply of a row is added to another row ,then determinant will not change
given
add 2nd row to first row . This will not change determinant. So
multiply second row by -1 . Then determinant is also get multiplied by -1 . So
so answer is 6
option A
Explain ur working
4. [6 marks] Using the following graph representation (G(VE,w)): V a, b,c, d,e, fh E -la, b, [a, fl,la,d, (b,ej, [b,d, c,fl,fc,d],Id,el, sd, f) W(a, b) 4, W(a, f)-9, W(a, d)-10 W(b, e) 12, W (b, d)7, W(c,d) 3 a) [3 marks] Draw the graph including weights. b) [2 + 1-3 marks] Given the following algorithm for finding a minimum spanning tree for a graph: Given a graph (G(V,E)) create a new graph (F) vith nodes (V)...
File Edit Format View Help Graphs and trees 4. [6 marks] Using the following graph representation (G(V,E,w)): v a,b,c,d,e,f E fa,b), (a,f),fa,d), (b,e), (b,d), (c,f),(c,d),(d,e),d,f)) W(a,b) 4,W(a,f) 9,W(a,d) 10 W(b,e) 12,W(b,d) 7,W(c,d) 3 a) Draw the graph including weights. b) Given the following algorithm for Inding a minimum spanning tree for a graph: Given a graph (G(V,E)) create a new graph (F) with nodes (V) and no edges Add all the edges (E) to a set S and order them...
a b c Find the determinant below, where d e f 5 g h i 7g 7h 7i d e f (Simplify your answer.) 7g 7h 7i
2. Given that, for some a, b, c, d, e, f, g, h, i E evaluate the following determinants: (a) 13 points (b) (3 points (c) [4 pointe b h e 5b 5c 5a 9 2a 2b 2c
TO FROM Denver (D) Eric (E) Fresno (F) Griffin (G) Supply Atlanta (A) [5 [3 [6 [7 35 Boston (B) [4 [8 [1 [9 60 Chicago (C) [8 [12 [10 [3 35 Demand 30 45 25 30 The table above you should apply the Northwest corner (NWC) rule to obtain a feasible plan. Total cost=_____________________________________________________________________________(show calculation) Copy your feasible plan obtained by...
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A B C D E F G H J K M N O 1 Transportation Model (Basic) Use Solver on Data Ribbon to solve 2 3 Input Matrix: Destinations C D A 4 1 4 7 7 1 100 5 SUPPLY 8 8 2 12 3 200 6 5 3 10 16 150 7 90 80 120 160 8 Demand Required 10 Do not change or delete unshaded cells. 11 12...
4. R(A, B, C, D, E, F, G, H, I, J) where A â B, C, D BE Fâ G, H, I (A, F) â B, C, D, E, G, H, I, J For each of the following relations, normalize it into a set of BCNF relations.
Question 1. La 1 2] Let A = 6 3 4 Lc 5 6 for some a, b, c ER such that det A = 12. (a) (9 points) Determine the dimension of the column space of A. (Th mine the rank of A.) Justify your answer. (h) (8 points) Calculate the determinant of La-1 1 2] 6 - 2 3 4 - 3 5 6 (c) (8 points) Calculate the determinant of La 3 37 6 7 6 |...
Let A={a b c d e f} B={a c e g} C = {b d f}
Find each:
B = {a, c, e,g} C = {b,d,f} A= {a,b,c,d,e,f} Find: (2 points each) (a) AnB (b) AUB (c) Ang (d) COB (e) CUB (f) (An B)UC (g) An(BUC) (h) Ax B (i) C XB G) AB (k) C ( BA) (1) B2
Let A = { a, b, c, d, e, f} , B={c, d, e, f, g, h} and C= {a, c, d, f, h, i, j} i. A N (BNC) ii. A UBUC iii.(AUB) O C iv.(AN BU C